Lifting $D$-modules from positive to zero characteristic
نویسندگان
چکیده
منابع مشابه
Lifting Witt Subgroups to Characteristic Zero
Let k be a perfect field of characteristic p > 0. Using Dieudonné modules, we describe the exact conditions under which a Witt subgroup, i.e., a finite subgroup scheme of Wn, lifts to the ring of Witt Vectors W (k).
متن کاملD-modules in positive characteristic and Frobenius descent
Let R = k[x1, . . . , xd] be the ring of polynomials in a finite number of variables over a field k and let DR|k be the corresponding ring of k-linear differential operators. The theory of DR|k-modules has been successfully applied in Commutative Algebra in order to study local cohomology modules due to the fact that, despite not being finitely generated as R-modules, they are so when considere...
متن کاملLifting an automorphism of a curve to characteristic zero
Question. Given a connected curve C 0 , proper and smooth over a field K of characteristic p, given a subgroup H ⊂ Aut(C 0); can we lift the pair (C 0 , H) to characteristic zero? ((We shall see that the answer is " NO " in general; for cyclic groups we conjecture that the answer is " YES " .)) Example (1) (Roquette). Consider the normalization of the completion of the curve given by the affine...
متن کاملLIFTING MODULES WITH RESPECT TO A PRERADICAL
Let $M$ be a right module over a ring $R$, $tau_M$ a preradical on $sigma[M]$, and$Ninsigma[M]$. In this note we show that if $N_1, N_2in sigma[M]$ are two$tau_M$-lifting modules such that $N_i$ is $N_j$-projective ($i,j=1,2$), then $N=N_1oplusN_2$ is $tau_M$-lifting. We investigate when homomorphic image of a $tau_M$-lifting moduleis $tau_M$-lifting.
متن کاملlifting modules with respect to a preradical
let $m$ be a right module over a ring $r$, $tau_m$ a preradical on $sigma[m]$, and$ninsigma[m]$. in this note we show that if $n_1, n_2in sigma[m]$ are two$tau_m$-lifting modules such that $n_i$ is $n_j$-projective ($i,j=1,2$), then $n=n_1oplusn_2$ is $tau_m$-lifting. we investigate when homomorphic image of a $tau_m$-lifting moduleis $tau_m$-lifting.
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ژورنال
عنوان ژورنال: Bulletin de la Société mathématique de France
سال: 2011
ISSN: 0037-9484,2102-622X
DOI: 10.24033/bsmf.2606